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20120212112 = 24711137317209
BaseRepresentation
bin10010101111010000…
…100001001010010000
31220221012201200021012
4102233100201022100
5312201233241422
613124301550052
71311411660350
oct225720411220
956835650235
1020120212112
118595376180
123a96275328
131b88577270
14d8c258b60
157cb5b44e2
hex4af421290

20120212112 has 160 divisors (see below), whose sum is σ = 53060770560. Its totient is φ = 7136501760.

The previous prime is 20120212097. The next prime is 20120212117. The reversal of 20120212112 is 21121202102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20120212117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1160564 + ... + 1177772.

It is an arithmetic number, because the mean of its divisors is an integer number (331629816).

Almost surely, 220120212112 is an apocalyptic number.

20120212112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20120212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26530385280).

20120212112 is an abundant number, since it is smaller than the sum of its proper divisors (32940558448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20120212112 is a wasteful number, since it uses less digits than its factorization.

20120212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17321 (or 17315 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20120212112 its reverse (21121202102), we get a palindrome (41241414214).

It can be divided in two parts, 20120 and 212112, that added together give a palindrome (232232).

The spelling of 20120212112 in words is "twenty billion, one hundred twenty million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 73 77 88 91 104 112 143 146 154 176 182 208 286 292 308 364 511 572 584 616 728 803 949 1001 1022 1144 1168 1232 1456 1606 1898 2002 2044 2288 3212 3796 4004 4088 5621 6424 6643 7592 8008 8176 10439 11242 12848 13286 15184 16016 17209 20878 22484 26572 34418 41756 44968 53144 68836 73073 83512 89936 106288 120463 137672 146146 167024 189299 223717 240926 275344 292292 378598 447434 481852 584584 757196 894868 963704 1169168 1256257 1325093 1514392 1566019 1789736 1927408 2460887 2512514 2650186 3028784 3132038 3579472 4921774 5025028 5300372 6264076 8793799 9843548 10050056 10600744 12528152 13818827 16331341 17226209 17587598 19687096 20100112 21201488 25056304 27637654 32662682 34452418 35175196 39374192 55275308 65325364 68904836 70350392 96731789 110550616 114319387 130650728 137809672 140700784 179644751 193463578 221101232 228638774 261301456 275619344 359289502 386927156 457277548 718579004 773854312 914555096 1257513257 1437158008 1547708624 1829110192 2515026514 2874316016 5030053028 10060106056 20120212112